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Finding the Fourth Proportional to 9,287.06, 13,914.36 and 7,737.03

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Solution

The fourth proportional to 9,287.06, 13,914.36 and 7,737.03 is: 11,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.06 : 13,914.36 = 7,737.03 : x
  2. Step 2: Convert to fraction form
    9,287.06/13,914.36 = 7,737.03/x
  3. Step 3: Cross multiply
    9,287.06x = 13,914.36 × 7,737.03
  4. Step 4: Simplify right side
    9,287.06x = 107,655,820.75
  5. Step 5: Solve for x
    x = 107,655,820.75/9,287.06
  6. Step 6: Final answer
    x = 11,592.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.